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Finding the Third Proportional to 84,036.75 and 130,130.25

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Solution

The third proportional to 84,036.75 and 130,130.25 is: 201,505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,036.75 : 130,130.25 = 130,130.25 : x
  2. Step 2: Convert to fraction form
    84,036.75/130,130.25 = 130,130.25/x
  3. Step 3: Cross multiply
    84,036.75x = 130,130.25 × 130,130.25
  4. Step 4: Simplify right side
    84,036.75x = 16,933,881,965.06
  5. Step 5: Solve for x
    x = 16,933,881,965.06/84,036.75
  6. Step 6: Final answer
    x = 201,505.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.